Classical approximation of the Dirac equation as \(\hbar \rightarrow 0\) (Q997562)
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scientific article; zbMATH DE number 5177463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical approximation of the Dirac equation as \(\hbar \rightarrow 0\) |
scientific article; zbMATH DE number 5177463 |
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Classical approximation of the Dirac equation as \(\hbar \rightarrow 0\) (English)
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7 August 2007
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Summary: We prove, from a mathematical point of view, that the solutions of Dirac's equation have a classical behavior when Planck's constant converge to zero. The most important result is: ``The part of quantum state with positive (resp. negative) kinetic energy, has in the limit a classical behavior with positive (resp. negative) kinetic energy''. Notice, this is a pure mathematical result, because physically, the states with negative kinetic energy don't make sense.
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